Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?

Answers

Answer 1

Answer:

Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

Together:

2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds


Related Questions

please help me find the value of H and A

Answers

the value of a= 12 h= 14

Lonny is a salesman and earns $75 for each sale he makes. Lonny has a sales
goal to earn more than $975 dollars in a week. Lonny currently has made $150
from sales this week. Which of the following inequalities shows the number of
sales, s, that Lonny needs to make in order to make his sales goal?
O 755 + 150 > 975
O 755 – 150 > 975
O 75s – 150 < 975
755 + 150 < 975

Answers

Answer:

5x-7+8=-27

Step-by-step explanation:

5x-7+8=-27

The mean,median and mode are measures of center that describe the data set using a single number.

Answers

Answer:

The mean is 16

Step-by-step explanation:

15+17+20+15+13 =80

80÷5=16

On a map, 1 inch equals 10 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.​

Answers

Answer:

the actual distance between the cities is 80 miles

Step-by-step explanation:

The computation of the actual distance between the cities is shown below:

As we know that

1 inch = 10 miles

So for 8 inches it would required 80 miles

i.e.

= 8 × 10

= 80 miles

Hence, the actual distance between the cities is 80 miles

Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Answers

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]

A+5 expressed as a difference

Answers

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

Line r and m are parallel. Find the value of x.

Answers

Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

Pancake Palace puts a pint of maple syrup on each one of their 16 tables. The owner is filling the syrup bottles before the restaurant opens. If the bottles are half full, how many quarts would he need to fill the bottles?

Answers

Answer:

64 quarts of maple syrup needed

Step-by-step explanation:

There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables

16 * 2 = 32 quarts of maple syrup

Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.

32 * 2 = 64 quarts of maple syrup needed

Answer:

4 Quarts

Step-by-step explanation:

You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.

There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.

Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.

16÷2=8

The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.

8÷2=4

The owner needs 4 quarts of maple syrup to fill the bottles.

The table below shows the 24 prizes that a teacher had in a box in her classroom:

The teacher will add more prizes to the box but does not want to change the ratios among the three types of prizes. If he adds 2 more pencils to the box, how many more bookmarks and posters should he add? Explain.

Answers

Answer: 15 bookmarks and 5 posters

Step-by-step explanation:

Which expression can be used to find the surface area of the following square pyramid?

Answers

answer: a a maybe right i guess

Auto saved at 08.27.45
What is the volume of the triangular prism?
35 cm
21 cm
14 cm
28 cm
o 8,2332 cm
o 4,116 cm
o 6,860 cm3
• 10,290 cm

Answers

Answer:

the answer is 4116 cm^3

area is (1/2)xbh x 14, b =27, h=21.

Answer:

4116 cm^3

Step-by-step explanation:

30 POINTS PLUS BRAINLIEST. ANSWER ALL QUESTIONS IN DETAILS,FORMULA AND STEP BY STEP.EXPLANATION FOR EACH ONE. NEEDS TO BE DONE IN 1HR OR LESS. ALL TROLL ANSWERS WILL BE REPORTED​

Answers

Answer: I think the answers below are all correct! :)

Step-by-step explanation: --> (that sign means I simplified the equation)

9-7r=-5 --> (9+5)-7r=0 --> 14-7r=0 --> 14=7r --> r=2

6x-5=4x+9 --> 6x=4x+(9+5) --> 6x=4x+14 --> 6x-4x=14 --> 2x=14 --> x=7

3(2d-1)=7d --> *multiply the parenthesis* 6d-3=7d --> -3=7d-6d -->d=-3

2(p-3)=4(3p+1) --> *multiply the parenthesis* 2p-6=12p+4 --> -10p=10 --> p=-1

___________________________________________________________

Don't know how to do the others below the boxes.

Good Luck!

Question 1 (10 points) What is the sum of two fractions: 3/4 + 1/6​

Answers

Answer: 11/12 or 0.916

Step-by-step explanation: hope this helps!

Dwayne purchased a computer from Techtronic's, Inc. for $2,600 in 2007. The rate of

depreciation is 7%. Which would be the best estimate for the value of the computer in

2010?

Answers

Answer:

[tex]\$2091.3[/tex]

Step-by-step explanation:

Let P denotes initial value of the product, r% is the annual depreciation rate and t denotes time period.

Depreciation (d) = [tex]P(1-\frac{r}{100})^t[/tex]

Put [tex]P=\$2,600,\,r\%=7\%,\,t=3[/tex] years

Therefore,

 [tex]d=P(1-\frac{r}{100})^t\\\\=2600(1-\frac{7}{100})^3 \\\\=2600(\frac{93}{100})^3\\\\=\$2091.3[/tex]

14 POINTS PHOTO INCLUDED
Geometry
Find the value of X

Answers

Answer:

80

Step-by-step explanation:

This quadrilateral is a kite

And the kite as its opposite angles equal

So based on this we can solve for x

[tex]100 + 100 + x + x = 360[/tex]

(360 here is the total sum of interior angke in a quadrilateral)

[tex]200 + 2x = 360 \\ 2x = 360 - 200 \\ 2x = 160 \\ x = \frac{160}{2} \\ x = 80[/tex]

Thisbis your answer hope it helps :))

the answer would be 80 :)

Use the Pythagorean Theorem to find l. 1 l l = 7 [?] ft 13 ft 1 2 ft a C с Pythagorean Theorem: a2 + b2 = c2 b Enter​

Answers

Answer:

l = √10 ft

Step-by-step explanation:

Using Pythagorean Theorem, a² + b² = c², where,

a = ½(2) = 1 ft

b = 3 ft

c = l

Plug in the values

1² + 3² = l²

1 + 9 = l²

10 = l²

√10 = l

l = √10 ft

The bake sale raised $60.00. If each cookie cost $0.75, how many cookies were sold
Pls help help help.

Answers

Answer:

80cookies

Step-by-step explanation:

60 / .75 = 80cookies

good luck, i hope this helps :)

Answer:  80 cookies were sold.

Step-by-step explanation:

To solve this, we divide the amount of money they earned by the amount of money each cookie cost. The answer is 80.

Kim is buying an equal number of ounces of gummy bears and chocolate drops
for her friends. Kim has $10 to spend at the store. If gummy bears cost $0.50
per ounce and chocolate drops cost $0.75 per ounce, how many ounces of each
type of candy can she buy?
ounces of each type of candy

Answers

Answer:

If you want to split the amount. You can by 5.50 dollars worth of gummy bears and 4.50 dollars worth of chocolate drops.

Gummy bears- 11oz can be purchased

Chocolate drops- 6oz can be purchased

Step-by-step explanation:

Your total will be 10 dollars

Hope that helped

Please HELP I’m being timed!!!

Answers

Answer:

C is the answer I think...

What's the missing value2x+3y=12

Answers

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?

A 100

B 33

C 25

D 20

Answers

Step-by-step explanation: D. 20

Look at the diagram. Which of the following is a pair of vertical angles?

∠EOB and ∠EOA


∠DOC and ∠EOB


∠AOB and ∠EOA


∠AOB and ∠DOC

Answers

Answer:

∠AOB and ∠DOC

Step-by-step explanation:

Here we have that the vertical angles are equal, so we have that the answer is: ∠AOB and ∠DOC

The other three options are not equal angles.

Answer: ∠AOB and ∠DOC

Step-by-step explanation:

−3x+6=39

What is the value of x?

Answers

Answer:

x=-11

Step-by-step explanation:

Answer:

X = -11 Hope this helps, work will be in comments

Which set of three angles could represent the interior angles of a triangle?
49, 59º. 72
O 34, 45°, 11°
O 24.51, 15°
O 45°, 70°, 85°

Answers

A. 49°, 59°, 72°

Because this is the only one that equals 180° which is the sum of a triangle

Hunter surveyed 200 of the students in his school bout there favorite color. 66 student said their favorite color was blue. What % of the surveyed student said there color was blue?

Answers

33% is your answer .

5. To get into the movies there is an $7.50 admission, but on Mondays the tickets
are 20% off. Find the sale price. *

Answers

Answer:

6.00

Step-by-step explanation:

7.50 x 20% = 1.50

7.50 - 1.50 = $6.00

Please help ASAP pleeasassseee

Answers

X is equal to 37.6 degrees

please help i really need it i have been working on this for the past 42 minutes

Answers

For graphing use the website Desmos, it gives you the answers for graphing

The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to 0.354?

Answers

What are the expressions?

Answer:

cos(90° -x), cos(45° -x), cos(x), and cos(x- 45°) that's how mine looks like anyways

Step-by-step explanation:

Dominica $2000 for 3years at an interest rate of 7% how much interest did she earn on her money?​

Answers

Answer:

$420

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the annual interest rate expressed as a decimal fraction, and t is the number of years.

Here p = $2,000, r = 0.07 and t = 3 yr, and so

i = ($2,000)(0.07)(3) = $420 was the amount of interest earned.

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